qhull_r 7.2.0 (2015.2.r 2016/01/18)

qhull- compute convex hulls and related structures. Qhull 2015.2.r 2016/01/18 input (stdin): dimension, n, point coordinates comments start with a non-numeric character halfspace: use dim+1 and put offsets after coefficients options (qh-quick.htm): d - Delaunay triangulation by lifting points to a paraboloid d Qu - furthest-site Delaunay triangulation (upper convex hull) v - Voronoi diagram as the dual of the Delaunay triangulation v Qu - furthest-site Voronoi diagram H1,1 - Halfspace intersection about [1,1,0,...] via polar duality Qt - triangulated output QJ - joggled input instead of merged facets Tv - verify result: structure, convexity, and point inclusion . - concise list of all options - - one-line description of each option -V - version Output options (subset): s - summary of results (default) i - vertices incident to each facet n - normals with offsets p - vertex coordinates (if 'Qc', includes coplanar points) if 'v', Voronoi vertices Fp - halfspace intersections Fx - extreme points (convex hull vertices) FA - compute total area and volume o - OFF format (if 'v', outputs Voronoi regions) G - Geomview output (2-d, 3-d and 4-d) m - Mathematica output (2-d and 3-d) QVn - print facets that include point n, -n if not TO file- output results to file, may be enclosed in single quotes examples: rbox D4 | qhull Tv rbox 1000 s | qhull Tv s FA rbox 10 D2 | qhull d QJ s i TO result rbox 10 D2 | qhull v Qbb Qt p rbox 10 D2 | qhull d Qu QJ m rbox 10 D2 | qhull v Qu QJ o rbox c d D2 | qhull Qc s f Fx | more rbox c | qhull FV n | qhull H Fp rbox d D12 | qhull QR0 FA rbox c D7 | qhull FA TF1000 rbox y 1000 W0 | qhull rbox c | qhull n